Path: Top -> Journal -> Jurnal Internasional -> Fuzzy Information and Engineering -> 2020 -> Volume 12, Issue 4

Solving Two Coupled Fuzzy Sylvester Matrix Equations Using Iterative Least-squares Solutions

Journal from gdlhub / 2021-09-02 16:03:37
Oleh : Ahmed M. E. Bayoumi & Mohamed A. Ramadan, Fuzzy Information and Engineering
Dibuat : 2021-09-02, dengan 0 file

Keyword : Coupled fuzzy Sylvester matrix equations, Iterative algorithm, Kronecker product, Frobenius norm, Star product
Url : http://www.tandfonline.com/doi/full/10.1080/16168658.2021.1923442
Sumber pengambilan dokumen : Web

In this paper, five iterative methods for solving two coupled fuzzy Sylvester matrix equations are considered. The two coupled fuzzy Sylvester matrix equations are expressed by using the generalized inverse of the coefficient matrix, then iterative solutions are constructed by applying the hierarchical identification principle and by using the block-matrix inner product (the star product for short). A proposed modification to this algorithm to solve the first coupled fuzzy Sylvester matrix equations is suggested. This proposed modification is compared with the first algorithm where our modification exhibits fast convergence behavior. Also, we suggested two least-squares iterative algorithm by applying a hierarchical identification principle to solve the two coupled fuzzy Sylvester matrix equations. The proposed methods are illustrated by numerical examples.

Deskripsi Alternatif :

In this paper, five iterative methods for solving two coupled fuzzy Sylvester matrix equations are considered. The two coupled fuzzy Sylvester matrix equations are expressed by using the generalized inverse of the coefficient matrix, then iterative solutions are constructed by applying the hierarchical identification principle and by using the block-matrix inner product (the star product for short). A proposed modification to this algorithm to solve the first coupled fuzzy Sylvester matrix equations is suggested. This proposed modification is compared with the first algorithm where our modification exhibits fast convergence behavior. Also, we suggested two least-squares iterative algorithm by applying a hierarchical identification principle to solve the two coupled fuzzy Sylvester matrix equations. The proposed methods are illustrated by numerical examples.

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